UPS has recently acquired a small start$-$up in Cape Town, South Africa that receives packages every day by mid$-$afternoon, sorts them until the evening, loads them onto a truck for overnight storage, and then delivers them the next day $8$AM$-7$PM$,$ with a $60-$minute lunch break. This start$-$up is rather small and currently has an insufficient amount of trucks to complete the increased load. UPS has asked our help in determining how many new trucks they should lease, as well as the specific model type. They will scrap all existing trucks.